A numerical verification method for a periodic solution of a delay differential equation

[摘要] We describe a numerical method with guaranteed accuracy to enclose a periodic solution for a system of delay differential equations. Using a certain system of equations corresponding to the original system, we derive sufficient conditions for the existence of the solution, the satisfaction of which can be verified computationally. We describe the verification procedure in detail and give a numerical example. (C) 2010 Elsevier B.V.All rights reserved.

[发布日期] 2010-12-01

[关键词] Delay differential equation;Numerical computation with guaranteed accuracy;Delayed feedback control;Rossler system